20220302, 20:17  #67 
Jan 2007
Germany
1000001001_{2} Posts 
smallest 45digit prime 13tuplet
Thank you Matt !
The 4th kind is found 100000000000000000000006149198224095343810309+d,d=0,2,8,14,18,20,24,30,32,38,42,44,48 Last fiddled with by Cybertronic on 20220302 at 20:17 
20220305, 18:57  #68 
Jan 2007
Germany
209_{16} Posts 
smallest 45digit prime 13tuplet
...and the probable 5th kind is found !
It set also a new record for this pattern. 100000000000000000000002004740564798426955633+d,d=0,4,6,10,16,18,24,28,30,34,36,46,48 Last fiddled with by Cybertronic on 20220305 at 18:57 
20220308, 18:15  #69 
Jan 2007
Germany
521 Posts 
smallest 45digit prime 13tuplet (complete set!)
These are the smallest 45digit prime 13tuplet and each pattern (6).
100000000000000000000006149198224095343810309+d,d=00,02,08,14,18,20,24,30,32,38,42,44,48 100000000000000000000004356680452416578030761+d,d=00,02,06,08,12,18,20,26,30,32,36,42,48 100000000000000000000002004740564798426955633+d,d=00,04,06,10,16,18,24,28,30,34,36,46,48 100000000000000000000001385313747234235067869+d,d=00,02,12,14,18,20,24,30,32,38,42,44,48 100000000000000000000000370753267420360939851+d,d=00,06,12,16,18,22,28,30,36,40,42,46,48 100000000000000000000000123638035929118697823+d,d=00,04,06,10,16,18,24,28,30,34,40,46,48 
20220331, 15:11  #70 
Jan 2007
Germany
521 Posts 
smallests 6000digit prime triplets
The smallests 6000 digit prime triplets are known !
Many thanks goes to "kruoli" for his primosupport ! 10^5999 + 835812013681 + d, d=0,2,6 10^5999 + 634115091747 + d, d=0,4,6 Next: smallest 3000digit prime quadruplet Last fiddled with by Cybertronic on 20220331 at 15:11 
20220504, 17:02  #71 
Jan 2007
Germany
521 Posts 
The smallest 3000digit prime quadruplet
is known !
10^2999+339930644528851+d,d=0,2,6,8 Primo runs formal. Last fiddled with by Cybertronic on 20220504 at 17:02 
20220627, 05:41  #72 
Jan 2007
Germany
1000001001_{2} Posts 
1100digit prime quintuplet [0,2,6,8,12]
10^1099+26317044823878361+d,d=0,2,6,8,12.

20220628, 03:35  #73 
Jan 2007
Germany
521 Posts 
smallest 20000 digit Twins
10^19999 + 1514722610 ± 1 is now the smallest proven twin prime !
Many thanks go to Paul Underwood, who donate time to certificated this numbers (and the smallest 20k digit prime) via FastECPP ! Good job ! Greetings Norman https://pzktupel.de/smx0000.php https://pzktupel.de/KTHIST/kt002.php Last fiddled with by Cybertronic on 20220628 at 03:39 
20220725, 04:56  #74 
Jan 2007
Germany
521 Posts 
smallest 1100digit prime quintuplet [0,4,6,10,12]
10^1099 + 15720821612555937 + d, d=0,4,6,10,12

20220816, 11:24  #75 
Jan 2007
Germany
521 Posts 
smallest 7000digiti prime triplet 1st kind
10^6999 + 1141791245437 + d, d = 0, 2, 6 is the smallest 7000digit prime triplet to given pattern.
Many thanks goes to "kruoli" for his FastECPPsupport ! https://pzktupel.de/smx000.php 
20220914, 10:11  #76 
Jan 2007
Germany
209_{16} Posts 
smallest 7000digit prime triplet 2nd kind
10^6999 + 1868862621087 + d, d = 0, 4, 6 is the smallest 7000digit prime triplet to given pattern.
Many thanks goes to "kruoli" for his FastECPPsupport ! Next: smallest 55 digit prime 12tuplet Estimated time: 1 week per pattern 
20220923, 08:26  #77 
Jan 2007
Germany
521 Posts 
smallest 55digit prime 12tuplet, 1st kind
After round 2 weeks, I found the 1st smallest one to given pattern.
10^54 + 2743862590724468830501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, next is 10^54 + 2955087732304487826931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 Both was found in the same cycle. Last fiddled with by Cybertronic on 20220923 at 08:27 
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